On characterizing equilibrium points in two person strictly competitive games |
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| Authors: | Professor James W. Friedman |
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| Affiliation: | 1. Department of Economics, Virginia Polytechnic Institute and State University, 24061, Blacksburg, VA, USA
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| Abstract: | A game is strictly competitive if all possible outcomes are Pareto optimal. It has been known that ifs′ = (s′ 1,s′ 2) ands″ = (s″ 1 s″ 2) are equilibrium points in a two person strictly competitive game, then payoffs are the same ats′ as ats″ and that (s′ 1,s″ 2) and (s″ 1 s′ 2) are equilibrium points as well. It is proved in this paper that, for 0 ?k?1,ks′ + (1?k)s″ is also an equilibrium point. |
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